#include // #include #include using namespace std; // using namespace atcoder; using bint = boost::multiprecision::cpp_int; using ll = long long; using ull = unsigned long long; using P = pair; using vi = vector; using vvi = vector; using vvvi = vector; #define rep(i,n) for(ll i = 0;i < (ll)n;i++) #define ALL(x) (x).begin(),(x).end() #define sz(c) ((ll)(c).size()) #define LB(A,x) (int)(lower_bound(A.begin(),A.end(),x)-A.begin()) #define UB(A,x) (int)(upper_bound(A.begin(),A.end(),x)-A.begin()) // #define MOD 1000000007 #define MOD 998244353 templateusing min_priority_queue=priority_queue,greater>; templateostream&operator<<(ostream&os,vector&v){for(int i = 0;i < v.size();i++)os<istream&operator>>(istream&is,vector&v){for(T&in:v)is>>in;return is;} templateostream&operator<<(ostream&os,pair&p){os<istream&operator>>(istream&is,pair&p){is>>p.first>>p.second;return is;} int n,m,K; vvi memo(531451,vi(10,-1)); vvi v(10); vi Kp1(10,1); inline ll dfs(ll msk,int ov){ if(memo[msk][ov] != -1)return memo[msk][ov]; ll MSK = msk; ll ok = 0; rep(i,n){ if(MSK%(K+1) != K)ok += (1 << i); MSK /= (K+1); } if(!ok)return memo[msk][ov] = 1; ll res = 0; for(auto nv : v[ov]){ if(!(ok >> nv & 1))continue; msk += Kp1[nv]; (res += dfs(msk,nv))%= MOD; msk -= Kp1[nv]; } return memo[msk][ov] = res; }; int main(){ ios_base::sync_with_stdio(0), cin.tie(0); cin >> n >> m >> K; rep(i,9)Kp1[i+1] = Kp1[i]*(K+1); rep(i,m){ int a,b;cin >> a >> b; a--;b--; v[a].emplace_back(b); v[b].emplace_back(a); } ll res = 0; rep(i,n){ (res += dfs(Kp1[i],i))%= MOD; } cout << res << "\n"; return 0; }